We propose a strategy to create materials displaying robust and tunable magnetoelectric multiferroic properties at room temperature. The key idea is to construct heterostructures that combine two different constituents: (1) Compound BiFeO3, which presents strong ferroelectric and antiferromagnetic orders well above room temperature, but displays a small magnetic moment. (2) A ferromagnetic insulator (e.g., BiMnO3) that is only required to couple magnetically with BiFeO3. Our simulations show that it is possible to combine such materials to create superlattices that present (i) a room-temperature multiferroic state with relatively large magnetization (up to 0.3 µB per transition metal atom, with the possibility to improve by finding a suitable replacement for BiMnO3), (ii) an amply customizable magnetic behavior, and (iii) a strong magnetoelectric coupling. Thus, the new design strategy successfully addresses the greatest challenge in the area of magnetoelectric multiferroics, exploiting interfacial couplings and size (layer-thickness) effects to produce materials apt for applications.